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Dimitrios Tsimpis - One of the best experts on this subject based on the ideXlab platform.
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type iia ads4 compactifications on Cosets interpolations and domain walls
Journal of High Energy Physics, 2008Co-Authors: Paul Koerber, Dieter Lust, Dimitrios TsimpisAbstract:We present a classification of a large class of type IIA = 1 supersymmetric compactifications to AdS4, based on left-invariant SU(3)-structures on coset spaces. In the absence of sources the parameter spaces of all Cosets leading to a solution contain regions corresponding to nearly-Kahler structure. I.e. all these Cosets can be viewed as deformations of nearly-Kahler manifolds. Allowing for (smeared) six-brane/orientifold sources we obtain more possibilities. In the second part of the paper, we use a simple ansatz, which can be applied to all six-dimensional coset manifolds considered here, to construct explicit thick domain wall solutions separating two AdS4 vacua of different radii. We also consider smooth interpolations between AdS4 × 6 and 1,2 × 7, where 6 is a nearly-Kahler manifold and 7 is the G2-holonomy cone over 6.
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type iia ads4 compactifications on Cosets interpolations and domain walls
arXiv: High Energy Physics - Theory, 2008Co-Authors: Paul Koerber, Dieter Lust, Dimitrios TsimpisAbstract:We present a classification of a large class of type IIA N=1 supersymmetric compactifications to AdS4, based on left-invariant SU(3)-structures on coset spaces. In the absence of sources the parameter spaces of all Cosets leading to a solution contain regions corresponding to nearly-Kaehler structure. I.e. all these Cosets can be viewed as deformations of nearly-Kaehler manifolds. Allowing for (smeared) six-brane/orientifold sources we obtain more possibilities. In the second part of the paper, we use a simple ansatz, which can be applied to all six-dimensional coset manifolds considered here, to construct explicit thick domain wall solutions separating two AdS4 vacua of different radii. We also consider smooth interpolations between AdS4 x M6 and R^{1,2} x M7, where M6 is a nearly-Kaehler manifold and M7 is the G2-holonomy cone over M6.
Dieter Lust - One of the best experts on this subject based on the ideXlab platform.
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type iia ads4 compactifications on Cosets interpolations and domain walls
Journal of High Energy Physics, 2008Co-Authors: Paul Koerber, Dieter Lust, Dimitrios TsimpisAbstract:We present a classification of a large class of type IIA = 1 supersymmetric compactifications to AdS4, based on left-invariant SU(3)-structures on coset spaces. In the absence of sources the parameter spaces of all Cosets leading to a solution contain regions corresponding to nearly-Kahler structure. I.e. all these Cosets can be viewed as deformations of nearly-Kahler manifolds. Allowing for (smeared) six-brane/orientifold sources we obtain more possibilities. In the second part of the paper, we use a simple ansatz, which can be applied to all six-dimensional coset manifolds considered here, to construct explicit thick domain wall solutions separating two AdS4 vacua of different radii. We also consider smooth interpolations between AdS4 × 6 and 1,2 × 7, where 6 is a nearly-Kahler manifold and 7 is the G2-holonomy cone over 6.
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type iia ads4 compactifications on Cosets interpolations and domain walls
arXiv: High Energy Physics - Theory, 2008Co-Authors: Paul Koerber, Dieter Lust, Dimitrios TsimpisAbstract:We present a classification of a large class of type IIA N=1 supersymmetric compactifications to AdS4, based on left-invariant SU(3)-structures on coset spaces. In the absence of sources the parameter spaces of all Cosets leading to a solution contain regions corresponding to nearly-Kaehler structure. I.e. all these Cosets can be viewed as deformations of nearly-Kaehler manifolds. Allowing for (smeared) six-brane/orientifold sources we obtain more possibilities. In the second part of the paper, we use a simple ansatz, which can be applied to all six-dimensional coset manifolds considered here, to construct explicit thick domain wall solutions separating two AdS4 vacua of different radii. We also consider smooth interpolations between AdS4 x M6 and R^{1,2} x M7, where M6 is a nearly-Kaehler manifold and M7 is the G2-holonomy cone over M6.
D V Galtsov - One of the best experts on this subject based on the ideXlab platform.
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new coset matrix for d 6 self dual supergravity
Journal of High Energy Physics, 2013Co-Authors: Gerard Clement, D V GaltsovAbstract:Toroidal reduction of minimal six-dimensional supergravity, minimal five-dimensional supergravity and four-dimensional Einstein-Maxwell gravity to three dimensions gives rise to a sequence of Cosets O(4, 3)/(O(4) × O(3)) ⊃ G 2(2)/(SU(2) × SU(2)) ⊃ SU(2, 1)/S(U(2) × U(1)) which are invariant subspaces of each other. The known matrix representations of these Cosets, however, are not suitable to realize these embeddings which could be useful for solution generation. We construct a new representation of the largest coset in terms of 7 × 7 real symmetric matrices and show how to select invariant subspaces corresponding to lower Cosets by algebraic constraints. The new matrix representative may be also directly applied to minimal five-dimensional supergravity. Due to full O(4, 3) covariance it is simpler than the one derived by us previously for the coset G 2(2)/(SU(2) × SU(2)).
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new coset matrix for d 6 self dual supergravity
arXiv: High Energy Physics - Theory, 2013Co-Authors: Gerard Clement, D V GaltsovAbstract:Toroidal reduction of minimal six-dimensional supergravity, minimal five-dimensional supergravity and four-dimensional Einstein-Maxwell gravity to three dimensions gives rise to a sequence of Cosets $O(4,3)/(O(4)\times O(3))\supset G_{2(2)}/(SU(2)\times SU(2))\supset SU(2,1)/S(U(2)\times U(1))$ which are invariant subspaces of each other. The known matrix representations of these Cosets, however, are not suitable to realize these embeddings which could be useful for solution generation. We construct a new representation of the largest coset in terms of $7\times 7$ real symmetric matrices and show how to select invariant subspaces corresponding to lower Cosets by algebraic constraints. The new matrix representative may be also directly applied to minimal five-dimensional supergravity. Due to full O(4,3) covariance it is simpler than the one derived by us previously for the coset $G_{2(2)}/(SU(2)\times SU(2))$.
Paul Koerber - One of the best experts on this subject based on the ideXlab platform.
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type iia ads4 compactifications on Cosets interpolations and domain walls
Journal of High Energy Physics, 2008Co-Authors: Paul Koerber, Dieter Lust, Dimitrios TsimpisAbstract:We present a classification of a large class of type IIA = 1 supersymmetric compactifications to AdS4, based on left-invariant SU(3)-structures on coset spaces. In the absence of sources the parameter spaces of all Cosets leading to a solution contain regions corresponding to nearly-Kahler structure. I.e. all these Cosets can be viewed as deformations of nearly-Kahler manifolds. Allowing for (smeared) six-brane/orientifold sources we obtain more possibilities. In the second part of the paper, we use a simple ansatz, which can be applied to all six-dimensional coset manifolds considered here, to construct explicit thick domain wall solutions separating two AdS4 vacua of different radii. We also consider smooth interpolations between AdS4 × 6 and 1,2 × 7, where 6 is a nearly-Kahler manifold and 7 is the G2-holonomy cone over 6.
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type iia ads4 compactifications on Cosets interpolations and domain walls
arXiv: High Energy Physics - Theory, 2008Co-Authors: Paul Koerber, Dieter Lust, Dimitrios TsimpisAbstract:We present a classification of a large class of type IIA N=1 supersymmetric compactifications to AdS4, based on left-invariant SU(3)-structures on coset spaces. In the absence of sources the parameter spaces of all Cosets leading to a solution contain regions corresponding to nearly-Kaehler structure. I.e. all these Cosets can be viewed as deformations of nearly-Kaehler manifolds. Allowing for (smeared) six-brane/orientifold sources we obtain more possibilities. In the second part of the paper, we use a simple ansatz, which can be applied to all six-dimensional coset manifolds considered here, to construct explicit thick domain wall solutions separating two AdS4 vacua of different radii. We also consider smooth interpolations between AdS4 x M6 and R^{1,2} x M7, where M6 is a nearly-Kaehler manifold and M7 is the G2-holonomy cone over M6.
Gerard Clement - One of the best experts on this subject based on the ideXlab platform.
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new coset matrix for d 6 self dual supergravity
Journal of High Energy Physics, 2013Co-Authors: Gerard Clement, D V GaltsovAbstract:Toroidal reduction of minimal six-dimensional supergravity, minimal five-dimensional supergravity and four-dimensional Einstein-Maxwell gravity to three dimensions gives rise to a sequence of Cosets O(4, 3)/(O(4) × O(3)) ⊃ G 2(2)/(SU(2) × SU(2)) ⊃ SU(2, 1)/S(U(2) × U(1)) which are invariant subspaces of each other. The known matrix representations of these Cosets, however, are not suitable to realize these embeddings which could be useful for solution generation. We construct a new representation of the largest coset in terms of 7 × 7 real symmetric matrices and show how to select invariant subspaces corresponding to lower Cosets by algebraic constraints. The new matrix representative may be also directly applied to minimal five-dimensional supergravity. Due to full O(4, 3) covariance it is simpler than the one derived by us previously for the coset G 2(2)/(SU(2) × SU(2)).
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new coset matrix for d 6 self dual supergravity
arXiv: High Energy Physics - Theory, 2013Co-Authors: Gerard Clement, D V GaltsovAbstract:Toroidal reduction of minimal six-dimensional supergravity, minimal five-dimensional supergravity and four-dimensional Einstein-Maxwell gravity to three dimensions gives rise to a sequence of Cosets $O(4,3)/(O(4)\times O(3))\supset G_{2(2)}/(SU(2)\times SU(2))\supset SU(2,1)/S(U(2)\times U(1))$ which are invariant subspaces of each other. The known matrix representations of these Cosets, however, are not suitable to realize these embeddings which could be useful for solution generation. We construct a new representation of the largest coset in terms of $7\times 7$ real symmetric matrices and show how to select invariant subspaces corresponding to lower Cosets by algebraic constraints. The new matrix representative may be also directly applied to minimal five-dimensional supergravity. Due to full O(4,3) covariance it is simpler than the one derived by us previously for the coset $G_{2(2)}/(SU(2)\times SU(2))$.
